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Finding the Fourth Proportional to 704,750.48, 1,057,128.20 and 206,114.48

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Solution

The fourth proportional to 704,750.48, 1,057,128.20 and 206,114.48 is: 309,172.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,750.48 : 1,057,128.20 = 206,114.48 : x
  2. Step 2: Convert to fraction form
    704,750.48/1,057,128.20 = 206,114.48/x
  3. Step 3: Cross multiply
    704,750.48x = 1,057,128.20 × 206,114.48
  4. Step 4: Simplify right side
    704,750.48x = 217,889,429,236.34
  5. Step 5: Solve for x
    x = 217,889,429,236.34/704,750.48
  6. Step 6: Final answer
    x = 309,172.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.